Question

Find the length of AB, if the length of BD is 6 cm and AO is one third of AC which 12 cm.

• A. 3 cm
• B. 4 cm
• C. 5 cm
• D. 6 cm

Answer 1

The correct option is C 5 cm


$BD=6cmAC=12cmAO=\frac{1}{3}\times AC=\frac{1}{3}\times 12AO=4cm\text{We know that, one of the diagonals of a kite bisect each other.}BO=OD=3cm.$
$In△AOB,A{B}^2=A{O}^2+O{B}^2=4^2+3^2=16+9=25AB=\sqrt{25}=5cm$
$\text{The length of AB is 5 cm.}$